• 论文 •

### 含分布时滞的时滞微分系统多步龙格-库塔方法的时滞相关稳定性

1. 1. 上海大学理学院数学系, 上海 200444;
2. 上海海关学院, 上海 201204
• 收稿日期:2018-06-16 出版日期:2019-03-15 发布日期:2019-02-18
• 基金资助:

国家自然科学基金（11471217）资助项目.

Cong Yuhao, Hu Yang, Wang Yanpei. DELAY-DEPENDENT STABILITY OF MULTISTEP RUNGE-KUTTA METHODS FOR DIFFERENTIAL SYSTEMS WITH DISTRIBUTED DELAYS[J]. Mathematica Numerica Sinica, 2019, 41(1): 104-112.

### DELAY-DEPENDENT STABILITY OF MULTISTEP RUNGE-KUTTA METHODS FOR DIFFERENTIAL SYSTEMS WITH DISTRIBUTED DELAYS

Cong Yuhao1,2, Hu Yang1, Wang Yanpei1

1. 1. College of Science, Shanghai University, Shanghai 200444, China;
2. Shanghai Customs College, Shanghai 201204, China
• Received:2018-06-16 Online:2019-03-15 Published:2019-02-18

This paper is concerned with the stability of multistep Runge-Kutta methods for differential systems with distributed delays. Based on the Argument Principle, a sufficient condition of weak delay-dependent stability of multistep Runge-Kutta methods for the systems is obtained. Furthermore, numerical examples are provided to demonstrate the effectiveness of the theoretical results.

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